Q: What are the factor combinations of the number 339,709?
A:
Positive:
1 x 33970961 x 5569
Negative:
-1 x -339709-61 x -5569
A:
Positive:
1 x 33970961 x 5569
Negative:
-1 x -339709-61 x -5569
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 339,709, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 339,709 | |
-1 | -339,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 339,709.
Example:
1 x 339,709 = 339,709
and
-1 x -339,709 = 339,709
Notice both answers equal 339,709
With that explanation out of the way, let's continue. Next, we take the number 339,709 and divide it by 2:
339,709 ÷ 2 = 169,854.5
If the quotient is a whole number, then 2 and 169,854.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 339,709 | |
-1 | -339,709 |
Now, we try dividing 339,709 by 3:
339,709 ÷ 3 = 113,236.3333
If the quotient is a whole number, then 3 and 113,236.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 339,709 | |
-1 | -339,709 |
Let's try dividing by 4:
339,709 ÷ 4 = 84,927.25
If the quotient is a whole number, then 4 and 84,927.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 339,709 | |
-1 | 339,709 |
If you did it right, you will end up with this table:
1 | 61 | 5,569 | 339,709 |
-1 | -61 | -5,569 | -339,709 |
Here are some more numbers to try:
Try the factor calculator